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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 9 — Sep. 1, 2006
  • pp: 2177–2191

Pseudo-Fourier modal analysis on dielectric slabs with arbitrary longitudinal permittivity and permeability profiles

Hwi Kim, Seyoon Kim, Il-Min Lee, and Byoungho Lee  »View Author Affiliations


JOSA A, Vol. 23, Issue 9, pp. 2177-2191 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002177


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Abstract

A pseudo-Fourier modal analysis method for analyzing finite-sized dielectric slabs with arbitrary longitudinal permittivity and permeability profiles is proposed. In the proposed method, the permittivity and permeability profiles are represented by the Fourier expansion without using the conventional staircase approximation. The total electromagnetic field distribution inside a dielectric slab is a linear superposition of extracted pseudo-Fourier eigenmodes with specific coupling coefficients selected to satisfy given boundary conditions. The proposed pseudo-Fourier modal analysis method shows excellent agreement with the conventional rigorous coupled-wave analysis with the S-matrix method.

© 2006 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1940) Diffraction and gratings : Diffraction
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory
(260.1960) Physical optics : Diffraction theory

ToC Category:
Diffraction and Gratings

History
Original Manuscript: December 9, 2005
Manuscript Accepted: March 15, 2006

Citation
Hwi Kim, Seyoon Kim, Il-Min Lee, and Byoungho Lee, "Pseudo-Fourier modal analysis on dielectric slabs with arbitrary longitudinal permittivity and permeability profiles," J. Opt. Soc. Am. A 23, 2177-2191 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-9-2177

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